Although not a direct line through Henry Brooks, my husband's line goes back through Emma Brooks, daughter of William Brookes and Ann Blacktin. She was born 28 Nov 1806 / baptised 28 Dec 1806. She married John Shaw, Wire Ropes manufacturer in 1830 in Ecclesfield.
Thank you for your email, it looks as though our husbands have some shared ancestors, if you need any more information, please feel free to contact.
Regards
Freda